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Olin [163]
3 years ago
11

Find the similarity ratio of a cube with volume 216 ft to a cube with volume 1000ft

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-----------------------------\\\\
\cfrac{s^3}{s^3}\implies \cfrac{216}{1000}\implies \cfrac{\sqrt[3]{216}}{\sqrt[3]{1000}}\implies \cfrac{s}{s}\impliedby \textit{similarity ratio}

and simplify it away
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#6: Tell whether the function below is 1 point<br> linear or exponential.<br> *<br> f(x) = -1/4x + 5
Pachacha [2.7K]

Answer:

Linear function

Step-by-step explanation:

Given

f(x) = -\frac{1}{4}x + 5

Required

Linear or Exponential

A linear equation has the form: f(x) = mx + c;

An exponential has the form: f(x) = ab^x

By comparing both functions to: f(x) = -\frac{1}{4}x + 5

The linear function is similar to f(x) = -\frac{1}{4}x + 5

<em>Hence, the given function is a linear function.</em>

8 0
2 years ago
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iren [92.7K]

Answer:

I-

Step-by-step explanation:

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7 0
3 years ago
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GrogVix [38]

Answer:

A

Step-by-step explanation:

The domain does not exist when the denominater of an equation is zero. So in this case if x was -2 and we added 2 the denominator would be zero, and that value does not exist in the domain. Hope this helps!

8 0
3 years ago
15/100,3/10,45/100,6/10,75/100 find the next pattern
ad-work [718]
From the given series:
<span>15/100,3/10,45/100,6/10,75/100
The common difference=3/10-15/100=3/20
Th e first term 15/100
thus the series is an arithmetic series which follows a general explicit formula of:
an=a+(n-1)d
thus plugging in our values,we obtain explicit formula for the series as:
an=15/100+(n-1)3/20
an=3/20n
Thus the answer is: 3/20n</span>
7 0
3 years ago
Write 6 11/13 as an improper fraction.
hoa [83]

Answer:

89/13

Step-by-step explanation:

Step 1:

Multiply the denominator by the whole number

13 × 6 = 78

Step 2

Add the answer from Step 1 to the numerator

78 + 11 = 89

Step 3

Write answer from Step 2 over the denominator

89/13

3 0
3 years ago
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